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Nontraditional Methods in Mathematical Hydrodynamics

O. V. Troshkin Moscow Technical University, Moscow, Russia
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Hardcover ISBN: 978-0-8218-0285-4
Product Code: MMONO/144
List Price: $102.00 MAA Member Price:$91.80
AMS Member Price: $81.60 Electronic ISBN: 978-1-4704-4561-4 Product Code: MMONO/144.E List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
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List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view Nontraditional Methods in Mathematical Hydrodynamics O. V. Troshkin Moscow Technical University, Moscow, Russia Available Formats:  Hardcover ISBN: 978-0-8218-0285-4 Product Code: MMONO/144  List Price:$102.00 MAA Member Price: $91.80 AMS Member Price:$81.60
 Electronic ISBN: 978-1-4704-4561-4 Product Code: MMONO/144.E
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$153.00 MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Translations of Mathematical Monographs
Volume: 1441995; 197 pp
MSC: Primary 76; Secondary 35;

This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.

Researchers and graduate students working in mathematical physics and hydrodynamics.

• Chapters
• Introduction
• Chapter I. Stationary flows of an ideal fluid on the plane
• Chapter II. Topology of two-dimensional flows
• Chapter III. A two-dimensional passing flow problem for stationary Euler equations
• Chapter IV. The dissipative top and the Navier-Stokes equations
• Chapter V. Specific features of turbulence models
• Appendix. Formal constructions connected with Euler equations
• Reviews

• The book overall treats a number of very special problems … from an interesting perspective.

Mathematical Reviews
• Can be used by researchers and graduate students working in mathematical physics and hydrodynamics.

Zentralblatt MATH
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 1441995; 197 pp
MSC: Primary 76; Secondary 35;

This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.

Researchers and graduate students working in mathematical physics and hydrodynamics.

• Chapters
• Introduction
• Chapter I. Stationary flows of an ideal fluid on the plane
• Chapter II. Topology of two-dimensional flows
• Chapter III. A two-dimensional passing flow problem for stationary Euler equations
• Chapter IV. The dissipative top and the Navier-Stokes equations
• Chapter V. Specific features of turbulence models
• Appendix. Formal constructions connected with Euler equations
• The book overall treats a number of very special problems … from an interesting perspective.

Mathematical Reviews
• Can be used by researchers and graduate students working in mathematical physics and hydrodynamics.

Zentralblatt MATH
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.